Excitation of sidebands due to nonlinear coupling between a VLF transmitter signal and a natural ELF emission

Sotnikov, V. I.; Fiala, V.; Lefeuvre, F.; Lagoutte, D.; Mogilevsky, M. M.

doi:10.1029/91ja00695

Cited by 23 publications

(21 citation statements)

References 14 publications

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“…The interaction does not need to be local, that is, close to the observation region. A generation model for the 500-Hz alpha pulse sidebands was given by Sotnikov et al [1991], based on a nonlinear coupling between the transmitted wave and an extra low frequency (ELF) emission above f•i. The sidebands were Copyfight 1994 by the American Geophysical Union Paper number 93JA03024.…”

Section: Introductionmentioning

confidence: 99%

Excitation of sideband emissions by a modulated electron beam during the CHARGE 2B Mission

Sotnikov¹,

Schriver²,

Ashour‐Abdalla³

et al. 1994

J. Geophys. Res.

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Sideband wave emissions are secondary peaks in wave power observed at frequencies above and below the primary peak. Observed sideband amplitudes are usually reduced compared to the primary wave amplitude. During the recent CHARGE 2B ionospheric rocket mission, sideband waves were observed during an electron beam injection experiment. The beam current was modulated causing a peak in wave power at the modulation frequency and at certain times sidebands were observed along with the primary wave emission. A nonlinear coupling mechanism between the primary wave and a lower‐frequency wave is explored here to explain the presence of the sideband emissions. Comparison of the theoretical results with the wave data confirm this mechanism as a viable explanation for the observed sidebands.

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Section: Introductionmentioning

confidence: 99%

Excitation of sideband emissions by a modulated electron beam during the CHARGE 2B Mission

Sotnikov¹,

Schriver²,

Ashour‐Abdalla³

et al. 1994

J. Geophys. Res.

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“…Their ionospheric perturbations have mainly been observed in-situ by satellites. It includes: triggering of new waves (Dowden et al, 1978;Bell et al, 1983;Titova et al, 1984;Bell, 1985;Groves et al, 1988;Bell andNgo, 1988, 1990;Sotnikov et al, 1991), ionospheric heating (Inan, 1990;Bell et al, 1991;Dowden and Adams, 1992;Inan et al, 1992;, wave-electron interactions (Inan et al, 1978;Inan et al, 1982Inan et al, , 1984Inan et al, , 1985Dowden, 1985), and particle precipitation (Koons et al, 1981;Vampola, 1987Vampola, , 1990. Moreover, magnetospheric amplification of VLF pulses through wave-electron interaction is enhanced during magnetic storms (Smith and Clilverd, 1991).…”

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confidence: 99%

Physical mechanisms of man-made influences on the magnetosphere

Parrot

Zaslavski

1996

Surv Geophys

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Since the discovery of the Luxembourg effect in the 1930s, it is clear that man-made activities can perturb the ionosphere and the magnetosphere. The anthropogenic effects are mainly clue to different kinds of waves coming from the Earth's surface. Acoustic-gravity waves are generated by large explosions, spacecraft launches, or flight of supersonic planes. Electromagnetic waves are active in different frequency ranges. Power line harmonic radiation which is radiated in the ELF range by electrical power systems can be observed over industrial areas. At VLF and HF, the ground-based transmitters used for communications or radio-navigation heat the ionosphere and change the natural parameters. A large variety of phenomena is observed: wave-particle interaction, precipitation of radiation belt electrons, parametric coupling of EM whistler waves, triggered emissions, frequency shift, and whistler spectrum broadening. This paper will review the different physical mechanisms which are relevant to such perturbations. The possibility of direct chemical pollution in the ionosphere due to gas releases is also discussed.

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“…They also gave a qualitative explanation of the amplitude versus frequency profiles of the sidebands by invoking collisions and the frequency mismatch. In the case of ISEE observations, nonlinear electron-wave interaction has been invoked; 12 the three-wave mode coupling has also been proposed by Sotkinov, Fiala, Lefeure, and Lagoutte, 15 and by Riggin and Kelly, 17 while Lee and Kou, 18 and Groves, Lee, and Kuo, 19 invoked four-wave coupling for the same phenomenon.…”

Section: Introductionmentioning

confidence: 87%

Electron beam instabilities in unmagnetized plasmas via the Stieltjes transform (linear theory and nonlinear mode coupling)

Krishan

2007

Physics of Plasmas

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The Stieltjes transform has been used in place of a more common Laplace transform to determine the time evolution of the self-consistent field (SCF) of an unmagnetized semi-infinite plasma, where the plasma electrons together with a primary and a low-density secondary electron beam move perpendicular to the boundary surface. The secondary beam is produced when the primary beam strikes the grid. Such a plasma system has been investigated by Griskey and Stanzel [M. C. Grisky and R. L. Stenzel, Phys. Rev. Lett. 82, 556 (1999)]. The physical phenomenon, observed in their experiment, has been named by them as “secondary beam instability.” The character of the instability observed in the experiment is not the same as predicted by the conventional treatments—the field amplitude does not grow with time. In the frequency spectrum, the theory predicts peak values in the amplitude of SCF at the plasma frequency of plasma and secondary beam electrons, decreasing above and below it. The Stieltjes transform for functions, growing exponentially in the long time limit, does not exist, while the Laplace transform technique gives only exponentially growing solutions. Therefore, it should be interesting to know the kind of solutions that an otherwise physically unstable plasma will yield. In the high-frequency limit, the plasma has been found to respond to any arbitrary frequency of the initial field differentiated only by the strength of the resulting SCF. The condition required for exponential growth in the conventional treatments, and the condition for maximum amplitude (with respect to frequency) in the present treatment, have been found to be the same. Nonlinear mode coupling between the modes excited by the plasma electrons and the low-density secondary beam gives rise to two frequency-dependent peaks in the field amplitude, symmetrically located about the much stronger peak due to the plasma electrons, as predicted by the experiment.

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Excitation of sidebands due to nonlinear coupling between a VLF transmitter signal and a natural ELF emission

Cited by 23 publications

References 14 publications

Excitation of sideband emissions by a modulated electron beam during the CHARGE 2B Mission

Excitation of sideband emissions by a modulated electron beam during the CHARGE 2B Mission

Physical mechanisms of man-made influences on the magnetosphere

Electron beam instabilities in unmagnetized plasmas via the Stieltjes transform (linear theory and nonlinear mode coupling)

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